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505212641040 = 24357883267037
BaseRepresentation
bin1110101101000010000…
…01010001111100010000
31210022001010201022110210
413112201001101330100
531234133414003130
61024031432124120
751333432410502
oct7264101217420
91708033638423
10505212641040
111852944018a8
1281ab6836640
133884506b663
141a649637d72
15d21d58e5b0
hex75a1051f10

505212641040 has 80 divisors (see below), whose sum is σ = 1566363728448. Its totient is φ = 134705776128.

The previous prime is 505212640997. The next prime is 505212641047. The reversal of 505212641040 is 40146212505.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5052126410402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 505212640989 and 505212641007.

It is not an unprimeable number, because it can be changed into a prime (505212641047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1758402 + ... + 2025438.

Almost surely, 2505212641040 is an apocalyptic number.

It is an amenable number.

505212641040 is an abundant number, since it is smaller than the sum of its proper divisors (1061151087408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505212641040 is a wasteful number, since it uses less digits than its factorization.

505212641040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274936 (or 274930 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 505212641040 its reverse (40146212505), we get a palindrome (545358853545).

The spelling of 505212641040 in words is "five hundred five billion, two hundred twelve million, six hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 7883 15766 23649 31532 39415 47298 63064 78830 94596 118245 126128 157660 189192 236490 267037 315320 378384 472980 534074 630640 801111 945960 1068148 1335185 1602222 1891920 2136296 2670370 3204444 4005555 4272592 5340740 6408888 8011110 10681480 12817776 16022220 21362960 32044440 64088880 2105052671 4210105342 6315158013 8420210684 10525263355 12630316026 16840421368 21050526710 25260632052 31575790065 33680842736 42101053420 50521264104 63151580130 84202106840 101042528208 126303160260 168404213680 252606320520 505212641040